Comments on the β-deformed Script N = 4 SYM theory

2005/06/28 by Daniel Z. Freedman, Daniel Z Freedman, Umut Gürsoy +1 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/11/042

published as JHEP 0511:042,2005 · 18 pages, 1 figure. 2nd version: typos corrected, one reference added

arxiv created 2005/06/28 · openalex publication_date 2005/11/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Several calculations of 2- and 3-point correlation functions in the deformed theory are presented. The central charge in the Lunin-Maldacena gravity dual is shown to be independent of the deformation parameter. Calculations show that 2- and 3-point functions of chiral primary operators have no radiative corrections to lowest order in the interactions. Correlators of the operator tr(Z₁Z₂), which has not previously been identified as chiral primary, also have vanishing lowest order corrections.

Citations

• Dipole deformations of N=1 SYM and supergravity backgrounds with U(1)×U(1) global symmetry
• Vector operators in the BMN correspondence
• Two-point functions of chiral operators in Script N = 4 SYM at order g4
• Two-point correlators in theβ-deformed Script N = 4 SYM at the next-to-leading order

Cited by

• Instanton calculations in the β-deformed AdS/CFT correspondence
• Non-conformality of γ _i-deformed 𝒩 = 4 SYM theory
• The complete one-loop dilatation operator of planar real β-deformed N N = 4 SYM theory
• γi-deformed Lax pair for rotating strings in the fast motion limit